[go: up one dir, main page]

Search a number
-
+
26145126 = 2337241241
BaseRepresentation
bin110001110111…
…1000101100110
31211012022101000
41203233011212
523143121001
62332214130
7435141600
oct143570546
954168330
1026145126
1113838247
12890a346
1355554b7
143688170
152466a86
hex18ef166

26145126 has 96 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 7257600.

The previous prime is 26145073. The next prime is 26145127. The reversal of 26145126 is 62154162.

It is a super-2 number, since 2×261451262 = 1367135227111752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 26145126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26145127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108366 + ... + 108606.

It is an arithmetic number, because the mean of its divisors is an integer number (724185).

Almost surely, 226145126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26145126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

26145126 is an abundant number, since it is smaller than the sum of its proper divisors (43376634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26145126 is a wasteful number, since it uses less digits than its factorization.

26145126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 26145126 is about 5113.2304857106. The cubic root of 26145126 is about 296.7997834340.

Adding to 26145126 its reverse (62154162), we get a palindrome (88299288).

The spelling of 26145126 in words is "twenty-six million, one hundred forty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 82 98 123 126 147 189 241 246 287 294 369 378 441 482 574 723 738 861 882 1107 1323 1446 1687 1722 2009 2169 2214 2583 2646 3374 4018 4338 5061 5166 6027 6507 7749 9881 10122 11809 12054 13014 15183 15498 18081 19762 23618 29643 30366 35427 36162 45549 54243 59286 69167 70854 88929 91098 106281 108486 138334 177858 207501 212562 266787 318843 415002 484169 533574 622503 637686 968338 1245006 1452507 1867509 2905014 3735018 4357521 8715042 13072563 26145126